Answer:
Step-by-step explanation:
A polynomial is a mathematical expression in sum of powers with one or more variables multiplied by coefficients.
a) 3x² - 5x + 7 is a polynomial
b) x² + 2x - 1 is a polynomial
c) 3x² - 5x + 7 - [x² + 2x -1 ]= 3x² - 5x + 7 - x² - 2x + 1
{add like terms} = 3x² - x² - 5x - 2x +7 +1
= 2x² - 7x + 8
2x² - 7x + 8 is a polynomial
d) Constant term = 8
=
Use the Binomial Theorem to expand (x - 4y)³.
Answer:
x^3-64y^3
Step-by-step explanation:
(x-4y)^3
(x)^3-(4y)^3
x^3-64y^3
Hope this helps ;) ❤❤❤
Select all of the following statements that are true. All real numbers are natural numbers. All whole numbers are integers. All integers are whole numbers. All natural numbers are rational numbers. All irrational numbers are dense.
Answer:
All whole numbers are integers. AND All natural numbers are rational numbers.
Step-by-step explanation:
Answer:
The answer is D and E
Step-by-step explanation:
What is the conjugate of 7-8i?
Answer:
7 + 8i
Step-by-step explanation:
Conjugate of 7 - 8i is 7 + 8i
Answer:
Step-by-step explanation:
7+8i
What is the value of x in the equation 2(5x + 4) = 17? (5 points) a start fraction five over two end fraction b start fraction two over five end fraction c start fraction nine over 10 end fraction d start fraction 17 over 18 end fraction
Math problem: If Alexander the Great had lived 9 years more his reign would have lasted 1/2 his life, while if he had lived 9 years less his reign would have lasted 1/8 of his life. How old was Alexander when he died? And how long did he reign?
Answer: lived 48 years
reigned for 15 years
Step-by-step explanation:
Let x represent the number of years he reigned.
Let y represent Alexander's age.
Use the given information to create a system of equations:
Equation 1: x + 9 = (1/2)y
Equation 2: x - 9 = (1/8)y
Multiply the second equation by -1 and add the equations to eliminate x:
[tex].\quad x+9=\dfrac{1}{2}y\\\\\underline{-x+9}=\underline{-\dfrac{1}{8}}y\\\\.\qquad 18=\dfrac{3}{8}y\\\\.\qquad 48=y[/tex]
Input y = 48 into either equation to solve for x:
[tex].\quad x+9=\dfrac{1}{2}(48)\\\\.\quad x+9 = 24\\\\.\qquad x = 15[/tex]
Which of the following equations is quadratic? (a) x1x² + 1) = 0
(b) 5(4x + 2) = 3
(c) (x+3)(x + 4) = 5
Answer:
(c) (x+3)(x+4)=5
Step-by-step explanation:
It's in factored form, and you would use the method of finding the perfect square to get the equation set to zero and find the solutions.
A student took a survey of the class. There are 42 students in the class. The student surveyed favorite foods. 10 said hamburgers, 22 said pizza, 8 said french fries, and 2 said salad. Which percentage of the class chose pizza?
Answer:
52.38%
Step-by-step explanation:
Given that,
Total number of students in the class is 42
Out of 42, 10 like hamburgers, 22 like pizza, 8 like french fries, and 2 like salad.
We need to find the percentage of the class chose pizza. There are 22 student who like to have pizza. Required percentage is given by :
[tex]P=\dfrac{22}{42}\times 100\\\\P=52.38\%[/tex]
So, 52.38% of students chose pizza.
The l.c.m and h.c.f of two numbers is 9 times their HCF. The sum of LCM and HCF is 500. Find the HCF of two numbers.
Correct question:
The LCM of two numbers is 9 times their HCF .The sum of LCM and HCF is 500 . Find the HCF of two numbers.
Answer:
The HCF of two numbers is 50.
Step-by-step explanation:
let the H.C.F of the two numbers = x
let the L.C.M of the two numbers = y
y = 9x -------equation (1)
y + x = 500 -------- equation (2)
y = 500 - x
Substitute in the value of y in equation (1)
500 - x = 9x
500 = 9x + x
500 = 10x
x = 500 / 10
x = 50
Therefore, the HCF of two numbers is 50.
Answer:
50
Step-by-step explanation:
There are 2 prime factors that are different and 2 numbers that we look for that are identical when looking for prime factors.
So for numbers that don't end in 0 like 500 we can start with 3 to get 27 as one of the two numbers, then we look to see if 27 divides into that.
But for 500 it will always be numbers that end in 0 or 5 and also 1, 2 and 4
So we work with 9+1 = 10
x = 10
500/10 = 50
what is the missing length? help plssss
========================================
Work Shown:
LK = 65
LR = 52
RK = LK - LR = 65 - 52 = 13
The triangles are similar, so the corresponding sides form equal ratios
LK corresponds to RK as they are both on the same side
LK/RK is one ratio and it is equal to MK/SK
----------------
LK/RK = MK/SK
65/13 = 60/x
65x = 13*60 ... cross multiply
65x = 780
x = 780/65 ... divide both sides by 65
x = 12
SK = 12
Answer:
12
Step-by-step explanation:
RK = 65- 52= 13
similar triangle (∆RKS and ∆LKM)
[tex] \frac{13}{65} = \frac{x}{60} [/tex]
[tex]x = \frac{60 \times 13}{65} [/tex]
[tex]x = 12[/tex]
In Point-Slope Form, what is the equation of the line perpendicular to y = -8x - 5 that passes through (2,-4)
Answer:
line: y = (1/8)x - 17/4
Step-by-step explanation:
To find perpendicular of line (negative reciprocal the given slope)
y = -8x-5
Perpendicular slope = (1/8)x
-4 = (1/8)(2) + b
-4 = 1/4 +b
Multiply everything by 4 to make it eaiser
-16 = 1 -+4b
-17 = 4b
b = -17/4
Tyrone ran 7 laps on he quarter mile track during practice. Which subset of real numbers would include the distance Tyrone ran at practice?
Answer:
Step-by-step explanation:
7 quarter mile laps totals 7/4 miles, or 1 3/4 miles.
1 3/4 miles is between 1 and 2, a subset of real numbers.
The sum of the measures of the angles of a triangle is 180 degrees the second angle of a triangle is twice the measure of the first angle the third is 20 more than 5 times the first what are the measures of the three angles
Greetings from Brasil...
As said:
1° angle: X
2° angle: 2X
3° angle: 20 + 5X
"...The sum of the measures of the angles of a triangle is 180 degrees..."
(1° angle) + (2° angle) + (3° angle) = 180
X + 2X + (20 + 5X) = 180
X + 2X + 5X = 180 - 20
8X = 160
X = 160/8
X = 20
But the problem asks for the value of each angle. Thus
1° angle: X
as X = 20, so
1° angle: X = 20
2° angle: 2X
as X = 20, so
2° angle: 2.20 = 40
3° angle: 20 + 5X
as X = 20, so
3° angle: 20 + 5.20 = 20 + 100 = 120
The values of the first, second, and third angles are 20°, 40° and 120° respectively.
Let the first angle = x
Let the second angle = 2 × x = 2x
Let the third angle = 20 + (5 × x) = 20+5x
Total angles in the triangle = 180°
Based on the information above, the angles will be calculated thus:
x + 2x + 5x + 20 = 180
Collect like terms
8x = 180 - 20
8x = 160
x = 160/8
x = 20
First angle = 20°
Second angle = 2x = 2 × 20° = 40°
Third angle = 5x + 20 = (5 × 20°) + 20° = 120°
The angles are 20°, 40°, and 120°
Read related link on:
https://brainly.com/question/15348675
0.4r = 1.6 pls answer ASAP and pls show how to correct
Answer:
r = 4.
Step-by-step explanation:
0.4r = 1.6
4r = 16
2r = 8
r = 4.
0.4(4) = 1.6
1.6 = 1.6
Hope this helps!
perimeter of a regular pentagon is 5 times the length of its side
Answer:
True
Step-by-step explanation:
A regular polygon is a polygon that is equiangular and equilateral.It means the perimeter of it is 5 times the length of its side.
The answer is yes, the statement is TRUE.
Please Help, i will give brainiest. Please solve the problem about Sara kicking football.
Answer:
20 m
Step-by-step explanation:
The maximum height is given by the vertex form of the equation, that is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Given
h(t) = - 5t² + 20t ← factor out - 5 from each term
= - 5(t² - 4t)
Using the method of completing the square
add/subtract ( half the coefficient of the t- term)² to t² - 4t
h(t) = - 5(t² + 2(- 2)t + 4 - 4 )
= - 5(t - 2)² + 20 ← in vertex form
with vertex = (2, 20 )
The maximum height is at the value of k = 20
That is the maximum height is 20 m
pls help!!
will give the brainliest!
Need explanation
Urgent!!!
Answer:
h=4 and k=-4....
Step-by-step explanation:
hopevit helps you
Step-by-step explanation:
[tex]A^2= \begin{bmatrix} 4 & 0 \\ 4 & 4 \end{bmatrix}[/tex]
Equate this to $hA + kI$
Thus,
[tex] A^2= h \begin{bmatrix} 2 & 0 \\ 1 & 2 \end{bmatrix} + k \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}[/tex]
Hence we have the following equations (by equating corresponding terms on both sides):
$2h+k=4$
$h=4$
Solve these to get $h=4$ and $k=-4$
Astronomers estimate the internal temperature of the sun is 15,000,000 K. What is 15,000,000 written in scientific notation?
Answer:
1.5 x 10^7
Step-by-step explanation:
move 7 times to the right to check answer 1.5000000
1.5 x [tex]10^{7}[/tex] is written in scientific notation.
What is scientific notation?Scientific notation is a manner of writing very huge or very small numbers. a range of is written in scientific notation whilst a variety of between 1 and 10 is extended with the aid of a strength of 10. As an example, 650,000,000 can be written in clinical notation as 6.5 ✕ 10^8. Created by means of Sal Khan and the CK-12 Foundation.
How do astronomers degree the temperature of the solar?The color of mild a star emits is associated with its temperature. This means we will determine the effective temperature of the solar by using measuring the amount of mild it emits at each wavelength and evaluating the ensuing spectrum we see in models.
Learn more about scientific notation here: https://brainly.com/question/27862246
#SPJ2
the 3rd and the 4th terms of an arithmetic progression are 6and30 respectively determine the common term,first term and the 10th term
Answer:
first term= -42
common difference= 24
10th term= 174
36m2 - 25 = 0 please show work :)! Factoring problem
Here is a number line with some points labeled. Type the answers into the boxes below. a. Write the number
A as a fraction.
B as a decimal
C as a decimial and a fraction
Answer:
A = 2/4
B = 1.25
C = 11/4 , 2.75
Step-by-step explanation:
The children from a football club are put into rows in the sports hall. When put in rows of 6 children, there are 3 children left over. When put in rows of 8, there are 3 children left over. What is the least number of children in this football club
Answe:
27
Step-by-step explanation:
Let total children =x
when x divide by 6 we got 3
and when divide by 8 we also got 3
since x divided by both 6 and 8 got 3, we can use LCM to find the number to children in the club exclude the 3 player. you will get 24 and by adding 3 the total players that you will get is 27
Write a justification for each step given that EG=FH
Answer:
Option (C)
Step-by-step explanation:
Statements Reasons
1). EG = FH 1). Given information
2). EG = EF + FG 2). Segment addition postulate
3). FH = FG + GH 3). Segment addition postulate
4). EF + FG = FG + GH 4). Definition of congruent segments
5). EF = GH 5). Subtraction property of equality
Therefore, reasons given in Option (C) will be the answer.
solve 36x^2+23=60x using quadratic formula
Answer:
x₁ = 0.6
x₂ = 1.07
Step-by-step explanation:
36x² + 23 = 60x
36x² - 60x + 23 = 0
x = {-(-60)±√((-60²)-(4*36*23))} / (2*36)
x = {60±√(3600-3312)} / 72
x = {60±√288) / 72
x = {60±16.97) / 72
x₁ = {60-16.97} / 72 = 43.03/72 = 0.6 aprox.
x₂ = {60+16.97} / 72 = 76.97/72 = 1.07 aprox.
verify:
x₁
36*0.6² + 23 = 60*0.6
36*0.36 + 23 = 36
13 + 23 = 36
x₂
36*1.07² + 23 = 60*1.07
36*1.145 + 23 = 64.2
41.2 + 23 = 64.2
How many solutions are there to the equation below 14x+2=12x
what is your average speed if you drive 100km south and then 130km east and it takes 3.25 hours give your answers in km/hr and ft/sec
Answer:
Answer:
speed = 43.974 miles per hour
= 43.974 mi/h
Step-by-step explanation: speed calculator
which one is greater 24*36 or 18 twenty-fourths doblulded
Answer:
SO 18²⁴ IS GREATER
Step-by-step explanation:
24×36=864
18²⁴=1.3382588×10³⁰
HOPE IT WILL HELP ^_^
Answer:
24*26
Step-by-step explanation:
18/24ths doubled will result in a fraction while 24*26 is going to be an integer (864) much larger than 3/2= (18/24)*2
Select the inequality that represents the relationship described below.
The sum of three times a number and seven is greater than four times the number.
Answer:
(C) [tex]3x + 7 > 4x[/tex]
Step-by-step explanation:
Let [tex]x[/tex] represent the number that is unknown.
Using the words, we can write out each equation.
"The sum of three times a number and seven" will be adding 7 to 3x. So [tex]3x + 7[/tex].
"is greater than four times the number." will include a greater than sign and then 4 times the number, x. So:
[tex]> 4x[/tex]
Combining these, we get [tex]3x + 7 > 4x[/tex].
Hope this helped!
===============================================
Work Shown:
x = a number (something unknown)
3x = 3 times a number
3x+7 = the sum of 3 times a number and 7
4x = 4 times a number
3x+7 > 4x is the inequality that forms because the "the sum of 3 times a number and 7" portion is greater than the "4 times a number" portion
Solve the equation for x (if possible please show work)
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = - 4}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{3x - 5 = 2x - 9}[/tex]
Move 2x to left hand side and change it's sign
⇒[tex] \sf{3x - 2x - 5 = - 9}[/tex]
Move 5 to right hand side and change it's sign
⇒[tex] \sf{3x - 2x = - 9 + 5}[/tex]
Collect like terms
⇒[tex] \sf{x = - 9 + 5}[/tex]
Calculate
⇒[tex] \sf{x = - 4}[/tex]
Hope I helped!
Best regards!!
convert the repeating decimals to fractions
1:) repeating 7
?
16/9
Step-by-step explanation:1,7777777777777 =
= 1,(7)
= (17 - 1)/9
= 16/9
I AM GONNA CRY PLEASE PLEASE HELP ME
You invest $5,000 dollars in an account at 1.6% interest and interest is compounded
annually (once a year).
a) Write an equation that shows the amount of money you have after x years.
b) How much money would you have after 15 years?
Part (a)
Answer: y = 5000(1.016)^x------------------
Explanation:
You use the compound interest formula
A = P(1 + r/n)^(n*t)
where
A = final amount after t yearsP = amount deposited (principal) = 5000r = decimal form of interest rate = 0.016n = number of times we compound per year = 1t = number of years = x, some unknown numberAfter plugging those values in, you would go from A = P(1 + r/n)^(n*t) to
A = P(1 + r/n)^(n*t)
A = 5000(1 + 0.016/1)^(1*x)
A = 5000(1.016)^x
Since you're using x for the input, it's possible your teacher wants you to use y for the output. So replace A with y to get y = 5000(1.016)^x
==============================================
Part (b)
Answer: 6344.18 dollars--------------------------
Explanation:
Plug x = 15 into the equation we found back in part (a). Use your calculator to simplify. Round to the nearest hundredth which is rounding to the nearest penny.
y = 5000(1.016)^x
y = 5000(1.016)^15
y = 6344.1818561953
y = 6344.18
Answer:
girlie u gotta chill
Step-by-step explanation: